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20247360 = 2635723131
BaseRepresentation
bin100110100111…
…1001101000000
31102002200011020
41031033031000
520140403420
62001545440
7334046130
oct115171500
942080136
1020247360
111047a161
126945280
13426bbb3
142990ac0
151b9e340
hex134f340

20247360 has 224 divisors, whose sum is σ = 77248512. Its totient is φ = 4392960.

The previous prime is 20247347. The next prime is 20247373. The reversal of 20247360 is 6374202.

It is an interprime number because it is at equal distance from previous prime (20247347) and next prime (20247373).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20247360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154495 + ... + 154625.

Almost surely, 220247360 is an apocalyptic number.

20247360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38624256).

20247360 is an abundant number, since it is smaller than the sum of its proper divisors (57001152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20247360 is a wasteful number, since it uses less digits than its factorization.

20247360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20247360 is about 4499.7066571055. The cubic root of 20247360 is about 272.5562434758.

The spelling of 20247360 in words is "twenty million, two hundred forty-seven thousand, three hundred sixty".